We perform simulations of a laser-driven reshock experiment [Welser-Sherrill et al., High Energy Density Phys. (unpublished)] in the strong-shock high energy-density regime to better understand material mixing driven by the Richtmyer–Meshkov instability. Validation of the simulations is based on direct comparison of simulation and radiographic data. Simulations are also compared with published direct numerical simulation and the theory of homogeneous isotropic turbulence. Despite the fact that the flow is neither homogeneous, isotropic nor fully turbulent, there are local regions in which the flow demonstrates characteristics of homogeneous isotropic turbulence. We identify and isolate these regions by the presence of high levels of turbulent kinetic energy (TKE) and vorticity. After reshock, our analysis shows characteristics consistent with those of incompressible isotropic turbulence. Self-similarity and effective Reynolds number assessments suggest that the results are reasonably converged at the finest resolution. Our results show that in shock-driven transitional flows,turbulent features such as self-similarity and isotropy only fully develop once de-correlation, characteristic vorticity distributions, and integrated TKE, have decayed significantly. Finally, we use three-dimensional simulation results to test the performance of two-dimensional Reynolds-averaged Navier-Stokes simulations. In this context, we also test a presumed probability density function turbulent mixing model extensively used in combustion applications.
Received 18 October 2012Accepted 28 January 2013Published online 26 February 2013
Los Alamos National Laboratory is operated by Los Alamos National Security, LLC for the U.S. Department of Energy NNSA under Contract No. DE-AC52-06NA25396. The authors thank Forrest Doss for helpful and stimulating discussions.
Article outline: I. INTRODUCTION A. Description of the laboratory experiments B. Simulation strategies C. Initial material interface conditions II. COMPARISON WITH EXPERIMENTAL DATA III. COMPARISON WITH RESULTS FOR HOMOGENEOUS ISOTROPIC TURBULENCE IV. BHR VALIDATION V. PDFs A. Methodology B. Results VI. CONCLUSIONS
Mixing, e.g. dispersing, emulsifying, according to the phases to be m...
Brian M. Haines,
Fernando F. Grinstein,
Leslie Welser-Sherrill and
James R. Fincke
Source:Phys. Plasmas 20, 022309 (
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